A hub set in a graph G is a set U V (G) such that any two vertices outside U are connected by a path whose internal vertices lie in U. We prove that h(G) hc(G) c(G) h(G) + 1, ...
Tracy Grauman, Stephen G. Hartke, Adam Jobson, Bil...
In this paper, we consider the recognition problem on the HHDS-free graphs, a class of homogeneously orderable graphs, and we show that it has polynomial time complexity. In partic...
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...
We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property π is called a π-graph. If π satis...
— The relay node placement problem for wireless sensor networks is concerned with placing a minimum number of relay nodes into a wireless sensor network to meet certain connectiv...
Satyajayant Misra, Seung Don Hong, Guoliang Xue, J...